Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23616cd |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
6.8222291532268E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261444396,-1627110720560] |
[a1,a2,a3,a4,a6] |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
0.075090451722455 |
L(r)(E,1)/r! |
Ω |
0.037545225861216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23616r1 5904q1 7872bc1 |
Quadratic twists by: -4 8 -3 |